The Order of Culture (文化勲章, Bunka-kunshō) is a Japanese order, established on February 11, 1937. The order has one class only, and may be awarded to men and women for contributions to Japan's art, literature or culture; recipients of the order also receive an annuity for life. The order is conferred by the Emperor of Japan in person on Culture Day (November 3) each year.
The badge of the order, which is in gold with white enamel, is in the form of an mandarin orange blossom; the central disc bears three crescent-shaped jades (magatama). The badge is suspended on a gold and enamel wreath of mandarin orange leaves and fruit, which is in turn suspended on a purple ribbon worn around the neck.
The Order of Culture and Persons of Cultural Merit function together in honoring contributions to the advancement and development of Japanese culture in a variety of fields such as academia, arts and others.
The Emperor himself presents the honor at the award ceremony, which takes place at the Imperial Palace on the Day of Culture (November 3). Candidates for the Order of Culture are selected from the Persons of Cultural Merit by the Minister for Education, Science, Sports and Culture upon hearing views of all the members of the selection committee for the Persons of Cultural Merit. The Minister then recommends the candidates to the Prime Minister so that they can be decided by the Cabinet.
In mathematics, big O notation describes the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. It is a member of a larger family of notations that is called Landau notation, Bachmann–Landau notation (after Edmund Landau and Paul Bachmann), or asymptotic notation. In computer science, big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size. In analytic number theory, it is used to estimate the "error committed" while replacing the asymptotic size, or asymptotic mean size, of an arithmetical function, by the value, or mean value, it takes at a large finite argument. A famous example is the problem of estimating the remainder term in the prime number theorem.
Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation.